A. Varchenko

activity

19932023

most citedGeometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation

167 citations · 1.9k across the 134 of their papers we have counts for

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math.NT2022

Dynamical and qKZ equations modulo $p^{s}$ , an example

Alexander Varchenko

We consider an example of the joint system of dynamical differential equations and qKZ difference equations with parameters corresponding to equations for elliptic integrals. We so…

math.NT2022★ 1 cited

Dwork-type congruences and $p$ -adic KZ connection

Alexander Varchenko

We show that the $p$ -adic KZ connection associated with the family of curves $y^{q} = (t - z_{1}) \dots (t - z_{q g + 1})$ has an invariant subbundle of rank $g$ , while the corresponding complex…

math.NT2021★ 1 cited

Congruences for Hasse--Witt matrices and solutions of $p$ -adic KZ equations

Alexander Varchenko, Wadim Zudilin

We prove general Dwork-type congruences for Hasse--Witt matrices attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and $p$ -adic analytic pr…

math.NT2021★ 3 cited

Ghosts and congruences for $p^{s}$ -approximations of hypergeometric periods

Alexander Varchenko, Wadim Zudilin

We prove general Dwork-type congruences for constant terms attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and $p$ -adic analytic properti…

Dynamical and qKZ equations modulo ps, an example

Dwork-type congruences and p-adic KZ connection

Congruences for Hasse--Witt matrices and solutions of p-adic KZ equations

Ghosts and congruences for ps-approximations of hypergeometric periods

Dynamical and qKZ equations modulo $p^{s}$ , an example

Dwork-type congruences and $p$ -adic KZ connection

Congruences for Hasse--Witt matrices and solutions of $p$ -adic KZ equations

Ghosts and congruences for $p^{s}$ -approximations of hypergeometric periods